I've contacted them all including BCFT. Unfortunately, BCFT can only offer weekday training which won't work for me. I've also noticed there's a flying school at Thruxton which looks promising.
Based on the research I've done, I'm going to visit Thruxton and the two schools at Lee-on-the-Solent over the next week and plan to narrow it down to one or two. I'll then take a trial flight with them to make sure they're the right match for me. So I'm hoping to have my flight school decided upon before the end of the month!